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Finding the Fourth Proportional to 6,666.42, 10,002.55 and 3,158.93

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Solution

The fourth proportional to 6,666.42, 10,002.55 and 3,158.93 is: 4,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.42 : 10,002.55 = 3,158.93 : x
  2. Step 2: Convert to fraction form
    6,666.42/10,002.55 = 3,158.93/x
  3. Step 3: Cross multiply
    6,666.42x = 10,002.55 × 3,158.93
  4. Step 4: Simplify right side
    6,666.42x = 31,597,372.38
  5. Step 5: Solve for x
    x = 31,597,372.38/6,666.42
  6. Step 6: Final answer
    x = 4,739.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.